What is the Greatest Common Factor of 54205 and 54214?

Greatest common factor (GCF) of 54205 and 54214 is 1.

GCF(54205,54214) = 1

We will now calculate the prime factors of 54205 and 54214, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 54205 and 54214.

How to find the GCF of 54205 and 54214?

We will first find the prime factorization of 54205 and 54214. After we will calculate the factors of 54205 and 54214 and find the biggest common factor number .

Step-1: Prime Factorization of 54205

Prime factors of 54205 are 5, 37, 293. Prime factorization of 54205 in exponential form is:

54205 = 5¹ × 37¹ × 293¹

Step-2: Prime Factorization of 54214

Prime factors of 54214 are 2, 27107. Prime factorization of 54214 in exponential form is:

54214 = 2¹ × 27107¹

Step-3: Factors of 54205

List of positive integer factors of 54205 that divides 54205 without a remainder.

1, 5, 37, 185, 293, 1465, 10841

Step-4: Factors of 54214

List of positive integer factors of 54214 that divides 54205 without a remainder.

1, 2, 27107

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 54205 and 54214. The biggest common factor number is the GCF number.
So the greatest common factor 54205 and 54214 is 1.

Also check out the Least Common Multiple of 54205 and 54214